45368 has 16 divisors (see below), whose sum is σ = 87480. Its totient is φ = 22048.

The previous prime is 45361. The next prime is 45377. The reversal of 45368 is 86354.

It is a Cunningham number, because it is equal to 213²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45361) by changing a digit.

45368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371 + ... + 477.

45368 is a Friedman number, since it can be written as 8+35*6^4, using all its digits and the basic arithmetic operations.

2⁴⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

45368 is a deficient number, since it is larger than the sum of its proper divisors (42112).

45368 is a wasteful number, since it uses less digits than its factorization.

45368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 45368 is about 212.9976525692. The cubic root of 45368 is about 35.6656282148.

The spelling of 45368 in words is "forty-five thousand, three hundred sixty-eight".